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Finding the Fourth Proportional to 319,689.60, 478,900.80 and 280,291.20

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Solution

The fourth proportional to 319,689.60, 478,900.80 and 280,291.20 is: 419,881.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,689.60 : 478,900.80 = 280,291.20 : x
  2. Step 2: Convert to fraction form
    319,689.60/478,900.80 = 280,291.20/x
  3. Step 3: Cross multiply
    319,689.60x = 478,900.80 × 280,291.20
  4. Step 4: Simplify right side
    319,689.60x = 134,231,679,912.96
  5. Step 5: Solve for x
    x = 134,231,679,912.96/319,689.60
  6. Step 6: Final answer
    x = 419,881.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.